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Finding the Third Proportional to 226,644 and 480,207

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Solution

The third proportional to 226,644 and 480,207 is: 1,017,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,644 : 480,207 = 480,207 : x
  2. Step 2: Convert to fraction form
    226,644/480,207 = 480,207/x
  3. Step 3: Cross multiply
    226,644x = 480,207 × 480,207
  4. Step 4: Simplify right side
    226,644x = 230,598,762,849
  5. Step 5: Solve for x
    x = 230,598,762,849/226,644
  6. Step 6: Final answer
    x = 1,017,449.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.